@book{Andrews1984,
	location  = {Cambridge [England]},
	title     = {The theory of partitions},
	isbn      = {978-0-521-63766-4},
	series    = {Cambridge mathematical library},
	publisher = {Cambridge university press},
	author    = {Andrews, George E.},
	date      = {1984}
}

@article{Benois2019notes,
	title  = {{AN} {INTRODUCTION} {TO} $p$-{ADIC} {HODGE} {THEORY}},
	pages  = {132},
	author = {Benois, Denis},
	langid = {english},
	url    = {https://www.math.u-bordeaux.fr/~dbenoua/.pagepro/documents/p-adic-Hodge-final.pdf}
}

@misc{BergerMOF,
	title        = {Uniformizer for splitting field of {$p^{1/p^n}$} over p-adics},
	author       = {Berger, Laurent},
	howpublished = {MathOverflow},
	url          = {https://mathoverflow.net/questions/230612/uniformizer-for-splitting-field-of-p1-pn-over-p-adics#comment570046_230612},
	type         = {MathOverflow Comment},
	titleaddon   = {Comment on an answer on MathOverflow},
	year         = {2016}
}

@book{Boyadzhiev2018,
	title      = {Notes on the Binomial Transform: Theory and Table with Appendix on Stirling Transform},
	isbn       = {978-981-323-497-0 978-981-323-498-7},
	url        = {https://www.worldscientific.com/worldscibooks/10.1142/10848},
	shorttitle = {Notes on the Binomial Transform},
	publisher  = {{WORLD} {SCIENTIFIC}},
	author     = {Boyadzhiev, Khristo N},
	date       = {2018-05},
	langid     = {english},
	doi        = {10.1142/10848}
}

@article{BR10,
	author        = {M. Baker and R. Rumely. },
	date-added    = {2022-02-19 17:26:34 +0800},
	date-modified = {2022-02-19 17:28:46 +0800},
	journal       = {Math. Surveys Monogr. 159. Providence, RI: Amer. Math. Soc.,  doi: 10.1090/surv/159. mr: 2599526.},
	title         = {Potential theory and dynamics on the Berkovich projective line. },
	year          = {2010.}
}

@book{Comtet1974,
	title      = {Advanced Combinatorics: {{Theory}} of Finite and Infinite Expansions},
	shorttitle = {Advanced Combinatorics},
	author     = {Comtet, L.},
	year       = {1974},
	edition    = {rev. and enlarged ed},
	publisher  = {{Reidel}},
	location   = {{Dordrecht}},
	isbn       = {978-90-277-0441-2},
	pagetotal  = {343},
	url        = {https://www.springer.com/gp/book/9789401021982}
}

@article{FonWin1979a,
	title        = {Le ”corps des normes” de certaines extensions algébriques de corps locaux.},
	author       = {Fontaine, Jean-Marc and Wintenberger, Jean-Pierre},
	year         = {1979},
	journaltitle = {Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Série A},
	journal      = {C. R. Acad. Sci., Paris, Sér. A},
	volume       = {288},
	pages        = {367--370},
	issn         = {0366-6034; 0302-8429},
	langid       = {french}
}

@article{FonWin1979b,
	title        = {Extensions algébriques et corps des normes des extensions APF des corps locaux.},
	author       = {Fontaine, Jean-Marc and Wintenberger, Jean-Pierre},
	year         = {1979},
	journaltitle = {Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Série A},
	journal      = {C. R. Acad. Sci., Paris, Sér. A},
	volume       = {288},
	pages        = {441--444},
	issn         = {0366-6034; 0302-8429},
	langid       = {french}
}

@book{Fresnel-Put,
	author        = {Jean Fresnel and Marius van der Put},
	date-added    = {2022-02-23 13:50:57 +0800},
	date-modified = {2022-02-23 13:52:36 +0800},
	series        = {Progress in Mathematics},
	title         = {Rigid Analytic Geometry and Its Applications},
	volume        = { vol. 218},
	year          = {2004.}
}

@article{GaoPoyeton2021,
	title     = {LOCALLY ANALYTIC VECTORS AND OVERCONVERGENT $(\varphi,\tau)$ -MODULES},
	volume    = {20},
	doi       = {10.1017/S1474748019000148},
	number    = {1},
	journal   = {Journal of the Institute of Mathematics of Jussieu},
	publisher = {Cambridge University Press},
	author    = {Gao, Hui and Poyeton, Léo},
	year      = {2021},
	pages     = {137–185}
}

@book{Guillot2018,
	location   = {Cambridge New York, {NY}},
	title      = {A gentle course in local class field theory: local number fields, Brauer groups, Galois cohomology},
	isbn       = {978-1-108-37775-1 978-1-108-42177-5 978-1-108-43224-5},
	shorttitle = {A gentle course in local class field theory},
	pagetotal  = {293},
	publisher  = {Cambridge University Press},
	author     = {Guillot, Pierre},
	date       = {2018},
	doi        = {10.1017/9781108377751}
}

@article{Kedlaya2001,
	title        = {Power Series and p-Adic Algebraic Closures},
	volume       = {89},
	issn         = {0022314X},
	url          = {https://linkinghub.elsevier.com/retrieve/pii/S0022314X00926301},
	doi          = {10.1006/jnth.2000.2630},
	pages        = {324--339},
	number       = {2},
	journaltitle = {Journal of Number Theory},
	journal      = {Journal of Number Theory},
	author       = {Kedlaya, Kiran S},
	year         = {2001},
	langid       = {english}
}

@article{Komatsu2016,
	title        = {Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers},
	volume       = {88},
	issn         = {00333883},
	url          = {http://www.math.klte.hu/publi/load_pdf.php?p=2066},
	doi          = {10/gg9442},
	pages        = {357--368},
	number       = {3},
	journaltitle = {Publicationes Mathematicae Debrecen},
	shortjournal = {Publ. Math. Debrecen},
	author       = {Komatsu, Takao and Liptai, Kalman and Mezo, Istvan},
	date         = {2016-04-01}
}


@article{Mac1936I,
	author       = {{MacLane}, Saunders},
	date         = {1936},
	doi          = {10/cpc7bd},
	issn         = {0002-9947, 1088-6850},
	journaltitle = {Transactions of the American Mathematical Society},
	langid       = {english},
	number       = {3},
	pages        = {363--395},
	shortjournal = {Trans. Amer. Math. Soc.},
	title        = {A construction for absolute values in polynomial rings},
	volume       = {40},
	bdsk-url-1   = {https://doi.org/10/cpc7bd}
}

@article{Mac1936II,
	author       = {{MacLane}, Saunders},
	date         = {1936-09-01},
	doi          = {10/c8zb77},
	issn         = {0012-7094},
	journaltitle = {Duke Mathematical Journal},
	langid       = {english},
	number       = {3},
	shortjournal = {Duke Math. J.},
	title        = {A construction for prime ideals as absolute values of an algebraic field},
	volume       = {2},
	bdsk-url-1   = {https://doi.org/10/c8zb77}
}

@article{Mezo2014,
	title   = {Periodicity of the last digits of some combinatorial sequences},
	author  = {Mezo, Istvan},
	journal = {J. Integer Seq},
	volume  = {17},
	pages   = {1--18},
	year    = {2014},
	url     = {https://www.emis.de/journals/JIS/VOL17/Mezo/mezo19.html}
}

@misc{MilneCFT,
	author = {J.S. Milne},
	title  = {{Class Field Theory}},
	url    = {https://www.jmilne.org/math/CourseNotes/CFT.pdf},
	year   = {2020},
	note   = {[Version 4.03]}
}

@article{MVaquie,
	author        = {Michel Vauqui\'e},
	date-added    = {2022-02-24 14:44:49 +0800},
	date-modified = {2022-02-24 14:47:21 +0800},
	journal       = {Transactions of the American Mathematical Society  },
	number        = {No. 7 },
	pages         = {pp. 3439-3481 },
	title         = {Extension d'une valuation},
	volume        = {Vol. 359, },
	year          = {Jul., 2007,}
}

@misc{OurArxiv,
	title         = {Truncated expansion of $\zeta_{p^n}$ in the $p$-adic Mal'cev-Neumann field},
	author        = {Shanwen Wang and Yijun Yuan},
	year          = {2021},
	eprint        = {2111.07127},
	archiveprefix = {arXiv},
	primaryclass  = {math.NT}
}

@article{Poonen1993,
	url     = {https://www.e-periodica.ch/digbib/view?pid=ens-001:1993:39::52},
	doi     = {10.5169/SEALS-60414},
	author  = {Poonen, Bjorn},
	langid  = {english},
	title   = {Maximally complete fields},
	journal = {Enseign. Math},
	volume  = {39},
	number  = {1-2},
	pages   = {87--106},
	year    = {1993}
}

@book{Riordan1980,
	title      = {An Introduction to Combinatorial Analysis},
	isbn       = {978-1-4008-5433-2},
	url        = {https://www.degruyter.com/document/doi/10.1515/9781400854332/html},
	shorttitle = {An Introduction to Combinatorial Analysis},
	publisher  = {Princeton University Press},
	author     = {Riordan, John},
	date       = {1980-12-31},
	doi        = {10.1515/9781400854332}
}

@thesis{Ruth2015,
	author      = {R{\"u}th, Julian},
	date        = {2015},
	doi         = {10.18725/OPARU-3275},
	institution = {Universit{\"a}t Ulm},
	langid      = {english},
	title       = {Models of curves and valuations},
	type        = {phdthesis},
	bdsk-url-1  = {https://doi.org/10.18725/OPARU-3275}
}

@article{Sanchez2000,
	title        = {The Lucas congruence for Stirling numbers of the second kind},
	volume       = {94},
	issn         = {0065-1036, 1730-6264},
	url          = {http://www.impan.pl/get/doi/10.4064/aa-94-1-41-52},
	doi          = {10/gm5pdf},
	pages        = {41--52},
	number       = {1},
	journaltitle = {Acta Arithmetica},
	shortjournal = {Acta Arith.},
	author       = {Sánchez-Peregrino, Roberto},
	date         = {2000},
	langid       = {english}
}

@article{WangYuan2021,
	title        = {Uniformizer of the false Tate curve extension of $\mathbb{Q}_p$},
	issn         = {1382-4090, 1572-9303},
	url          = {https://link.springer.com/10.1007/s11139-021-00473-0},
	doi          = {10/gmkfxj},
	journaltitle = {The Ramanujan Journal},
	shortjournal = {Ramanujan J},
	author       = {Wang, Shanwen and Yuan, Yijun},
	date         = {2021-08-11},
	langid       = {english}
}

@article{Wintenberger1983,
	title        = {Le corps des normes de certaines extensions infinies de corps locaux; applications},
	volume       = {16},
	issn         = {0012-9593, 1873-2151},
	url          = {http://www.numdam.org/item?id=ASENS_1983_4_16_1_59_0},
	doi          = {10.24033/asens.1440},
	pages        = {59--89},
	number       = {1},
	journaltitle = {Annales scientifiques de l'École normale supérieure},
	shortjournal = {Ann. Sci. École Norm. Sup.},
	author       = {Wintenberger, Jean-Pierre},
	date         = {1983},
	langid       = {french}
}